One day at lunch, the cafeteria sold thirty-four 1-pint containers of milk. The cafeteria also sold forty-eight 12-fl-oz bottles of water. Did the cafeteria sell more fluid ounces or milk? How many more?

Answer:

√85

Step-by-step explanation:

See image

Distance formula can be used to find the distance between two points.

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}  }[/tex]

Answer: Second option

[tex]d=\sqrt{85}[/tex]

Step-by-step explanation:

The formula to find the distance between two points is:

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

In this problem the points are C(0, 4), T(-6, -3)

This is

[tex]x_1=0\\\\x_2=-6\\\\y_1=4\\\\y_2=-3[/tex]

So the distance is:

[tex]d=\sqrt{((-6)-0)^2 + ((-3)-4)^2}[/tex]

[tex]d=\sqrt{(-6)^2 + (-7)^2}[/tex]

[tex]d=\sqrt{36 + 49}[/tex]

[tex]d=\sqrt{85}[/tex]

Answer:

Line = To get a Unique line you need two distinct points.

In the given figure PQ is a line.

A plane is either a two dimensional or three dimensional surface such that if you take any two points on it ,the line joining these two points will completely lie on it.

You can name a plane by Single Alphabet or Set of Alphabet.

So,the plane can be Named as: P,Q,R , S→Single Alphabet or

P Q,PS,SR, R Q,→Using two Alphabet,

→ P QR, P Q S,......,P Q RS.

Answer:

x = 26°

Step-by-step explanation:

The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller

x = [tex]\frac{1}{2}[/tex] (66° - 14°) = 0.5 × 52° = 26°

The data item in this distribution that corresponds to the given z-score of 2 is 580.

Given:

Mean = 500

z score = 2

standard deviation = 40

To find the data item corresponding to a given z-score in a normally distributed data set, use the formula:

[tex]X = \mu + (z * \sigma)[/tex]

where X is the data item, μ is the mean, z is the z-score, and σ is the standard deviation.

Plugging the values into the formula, we have:

[tex]X = 500 + (2 * 40)[/tex]

[tex]X = 500 + 80[/tex]

[tex]X = 580[/tex]

Therefore, the data is 580.

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In a data set with a mean of 500 and standard deviation of 40, the data item that corresponds to the z-score of 2 is 580. This is computed by multiplying the standard deviation by the z-score and adding the product to the mean.

This question is dealing with z-scores and the standard normal distribution in statistics. The z-score is a measure of how many standard deviations an element is from the mean. In a standard normal distribution, the mean is 0 and the standard deviation is 1.

When you are given a z-score of 2 for a data set with a mean of 500 and a standard deviation of 40, it means the data item you're looking for is 2 standard deviations above the mean. You compute this by multiplying the z-score by the standard deviation and adding the product to the mean. So in this case, 500 + 2*40 = 580. Therefore, the data item in this distribution that corresponds to the z-score of 2 is 580.

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Answer:

it look like B but I'm not sure

Answer:

(6, 4)

Step-by-step explanation:

step 1

we have

The vertex T (8,6)

First transformation

The rule of the dilation is

(x, y) → → (2x, 2y)

so

(8, 6) → → (16, 12)

step 2

Second transformation

The rule of the translation is

(x, y) → → (x - 10, y - 8)

so

(16, 12) → → (16 - 10, 12 - 8) → → (6, 4)

Answer:

A 65.5%

Step-by-step explanation:

Percent decrease = (original - new)/ original * 100 percent

                              = (290-100)/290 * 100 %

                              = 190/290* 100%

                              =.655172414 * 100%

                               =65.5172414%

To the nearest tenth percent %

                                65.5%

I believe it’s 245 I believe I did this before I don’t know

Check the picture below.

so the hyperbola looks more or less like so, is a hyperbola with a vertical traverse axis, with a = 4 and h = 0, k = 0.

[tex]\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{the asymptotes are}}{\pm\cfrac{2}{3}x}\implies \pm\cfrac{2}{3}x=k\pm \cfrac{a}{b}(x- h)~~ \begin{cases} h=0\\ k=0\\ a=4 \end{cases} \\\\\\ +\cfrac{2}{3}x=0+\cfrac{4}{b}(x-0)\implies \cfrac{2x}{3}=\cfrac{4x}{b}\implies 2bx=12x \\\\\\ b=\cfrac{12x}{2x}\implies b=6 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{6^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{36}=1[/tex]

Final answer:

The standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±2/3x is \(\frac{y^2}{16} - \frac{9x^2}{64} = 1\).

Explanation:

Finding the Standard Form Equation of a Hyperbola

The student has asked for the standard form of a hyperbola given certain characteristics such as vertices and asymptotes.

The vertices at (0, ±4) indicate that this is a hyperbola centered at the origin with its major axis along the y-axis, while the asymptotes given by y = ±2/3x help determine the relationship between the semi-major axis a and semi-minor axis b.

General Structure of a Hyperbola

For a hyperbola centered at the origin with a vertical transverse axis, the standard form is:

[tex]\(rac{y^2}{a^2} - \frac{x^2}{b^2} = 1\)[/tex]

Given that the asymptotes have slopes of ±2/3, the relationship between a and b is b/a = 2/3. Since the vertices are at (0, ±4), a = 4. Solving for b gives us b = (2/3) × 4 = 8/3.

Standard Form Equation

The standard form equation of the hyperbola is therefore:

[tex]\(rac{y^2}{16} - \frac{x^2}{(8/3)^2} = 1\)Or simplified:\(rac{y^2}{16} - \frac{9x^2}{64} = 1\)[/tex]

Answer:

B. The lines have the same slope, but different intercepts.

Step-by-step explanation:

The solution of a system of linear equations doesn't exist if the lines do not intersect each other at any point. So if there is no solution that means the lines of both equations will not intersect.

Lets look at the options one by one.

For option A:

If the lines are perpendicular, they might intersect at any point so this is not the correct option.

For Option B:

If the lines have same slop and different intercepts that means the lines are parallel. We know that parallel lines never cross each other so option B is the correct answer.

For Option C:

The lines with same intercept and different might also intersect so option C is not correct.

For Option D:

The lines being on top of each other means that the lines intersect on all points. So option D is also not correct.

Answer:

1.   Absolute value :  d.  | - 7| = 7

2.  All real numbers :  b.  3x = 3x

3.  x = -5  : c.  5x = -25

4.  No solution : a.  |2x| = -10

5.  Adding the opposite to both sides of the equation. : e.  Canceling

Step-by-step explanation:

1.   Absolute value :  d.  | - 7| = 7

The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.

2.  All real numbers :  b.  3x = 3x

If we divide both sides by 3, we have x = x, which will always be true.

3.  x = -5  : c.  5x = -25

If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25

4.  No solution : a.  |2x| = -10

The result of an absolute value cannot be a negative number.  So, that has no solution since there's no value of x that would make this true.

5.  Adding the opposite to both sides of the equation. : e.  Canceling

If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{8+4}{2}~~,~~\cfrac{-4-6}{2} \right)\implies (6,-5) \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad \stackrel{\textit{the midpoint}}{(\stackrel{x_2}{6}~,~\stackrel{y_2}{-5})}[/tex]

[tex]\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-7}{6-(-6)}\implies \cfrac{-12}{6+6}\implies \cfrac{-12}{12}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-1[x-(-6)]\implies y-7=-1(x+6) \\\\\\ y-7=-x-6\implies y=-x+1[/tex]

Answer:

D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

Step-by-step explanation:

The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event [tex]A[/tex], and its complement event [tex]\overline{A}[/tex] always

[tex]Pr(A)+Pr(\overline{A})=1.[/tex]

If [tex]Pr(A)=0.55,[/tex] then

[tex]0.55+Pr(\overline{A})=1\\ \\Pr(\overline{A})=1-0.55=0.45.[/tex]

Event [tex]A[/tex] - the Seahawks will defeat the Raiders

Event [tex]\overline{A}[/tex] - the Seahawks will not defeat the Raiders

Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

The complement of the probability of the Seahawks defeating the Raiders is 0.45, this represents the probability of the Seahawks not defeating the Raiders.

In probability theory, a complement refers to the opposite event of whatever has been defined. If the probability of a certain event, in this case the 'Seahawks defeating the Raiders', is given as 0.55, then the complement of that event, 'the Seahawks not defeating the Raiders', is calculated by subtracting the given probability from 1. Hence, the probability of the Seahawks not defeating the Raiders is 1 - 0.55, which equals 0.45.

Thus, the correct answer is '0.45; the probability that the Seahawks will not defeat the Raiders'.

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Answer:

The correct answer is: d=9m

Step-by-step explanation:

Ok, the ladders leaned against a building make two right triangles with same the same height, which we will call h. For the 20m ladder, its leg is (7+d) and for the 15m ladder, its leg is d, and the two hypotenuses are 20 and 15 respectively.

Then, using the Pythagorean Theorem we have:  

20m ladder:

20^2 = h^2 + (d+7)^2    (Eq. 1)

400 = h^2 + d^2 + 2*7*d + 7^2  (expanding the theorem)

400 = (h^2 + d^2) + 14*d + 49   (Eq. 2)

15m ladder:

 15^2 = h^2 + (d)^2         (Eq. 3)

Since h^2 + (d)^2 is equal to 15^2, we can substitute (2) into (3):

400 = (15^2) + 14*d + 49

400 = 225 + 14*d + 49

14*d = 400 - 225 - 49  (clearing the variable d)

14*d = 126

d = 9 m

And since we now know that d is equal to 9m. For the longer ladder is (d+7)=(9+7)=16m.

And, then the shorter ladder is 9m from the building and the longer ladder is 16m from the building

Answer:

Your numbers are +7, -9, and 25

Step-by-step explanation:

Reverse the values of -7 and +9

Then you get +7 and -9

And also take radius squared which is 25

So, [tex](x--7)^{2} +(y-9)^{2}  = 25[/tex]

Answer:

Final answer is approx -0.07.

Step-by-step explanation:

We have been given a picture of the triangle whose sides are 7, 8 and 11.

Apply cosine formula to find the value of [tex]\cos\left(\theta\right)[/tex].

[tex]a^2=b^2+c^2-2\cdot b\cdot c\cdot\cos\left(a\right)[/tex]

[tex]11^2=7^2+8^2-2\cdot 7\cdot 8\cdot\cos\left(\theta\right)[/tex]

[tex]121=49+64-112\cdot\cos\left(\theta\right)[/tex]

[tex]121=113-112\cdot\cos\left(\theta\right)[/tex]

[tex]121-113=-112\cdot\cos\left(\theta\right)[/tex]

[tex]8=-112\cdot\cos\left(\theta\right)[/tex]

[tex]\frac{8}{-112}=\cos\left(\theta\right)[/tex]

[tex]-0.0714285714286=\cos\left(\theta\right)[/tex]

Hence final answer is approx -0.07.

The answer is C. -0.07.

The answer is a okay

Answer:

A and D

Step-by-step explanation:

The customers were chosen at random, so the sample is not biased.  However, the question is biased.  "Extra time and effort" is phrased to get a No response.

A and D.

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

Answer:

A = $784.00

Step-by-step explanation:

This is the answer

The current value of the coin is $990.38 if the Conner's coin collection, which was worth $400 eight years ago, has been increasing in value by 12% per year since then.

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We have formula:

A = P(1 + r)^t

Here P = $400

r = 12% = 0.12

t = 8 years

A = 400(1+0.12)^8

A = 400(2.47596)

A = $990.38

Thus, the current value of the coin is $990.38 if the Conner's coin collection, which was worth $400 eight years ago, has been increasing in value by 12% per year since then.

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When two four-sided dice are tossed, the combined outcome ranges from 2 to 8. The probability for each outcome can be calculated by counting the number of combinations that sum to that outcome and dividing by the total number of possible outcomes (16). For example, there's one way to get a sum of 2 (1+1), so the probability is 1/16.

The subject of this question is probability, particularly, the sums of outcomes when tossing two fair four-sided dice (or tetrahedrons). Each dice has sides 1, 2, 3, and 4. When these dice are tossed together, the combined outcome is anywhere between the minimum value 2 (1 from each dice) to the maximum value 8 (4 from each dice).

The probability of each combined outcome can be calculated based on the total possible different outcomes (4 outcomes from each die, 4 * 4 = 16 total possibilities). To determine the probability for each combined outcome, we'd need to count the number of ways to get that particular sum:

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Answer:

[tex]\large\boxed{h=\dfrac{F}{7g}}[/tex]

Step-by-step explanation:

[tex]F=7gh\to7gh=F\qquad\text{divide both sides by}\ 7g\neq0\\\\\dfrac{7gh}{7g}=\dfrac{F}{7g}\\\\h=\dfrac{F}{7g}[/tex]

The formula for the variable h is F/7g.

A variable is an alphabet or term that represents an unknown number of unknown value or unknown quantity.

The given equation is;

F=7gh

The formula for the variable h is determined in the following steps given below.

[tex]\rm F=7gh\\\\ h =\dfrac{F}{7g}[/tex]

Hence, the formula for the variable h is F/7g.

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Answer:

a. y = {x+1, x≤2; x+2, x>2}

Step-by-step explanation:

The open circle at (2, 4) means the function is not defined as y=x+2 at that point. Only one answer selection correctly uses the inequality symbol > for that part of the function definition.

___

Comment on the other answer choices.

One selection (b) uses the region definitions x < 2 and x ≥ 2. That would put the open circle at (2, 3) and the filled circle at (2, 4)—not a match with the graph. The other function definitions (c, and d) have the relation defined as two different values at x=2. Such a relation is not a function.

The answer is:

The first option:

[tex]Volumen_{max}=(8-2x)(6-2x)*x[/tex]

From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).

So,

Working with the length of the box, we have:

Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:

[tex]Length=(8-(x+x))=(8-2x)[/tex]

Now,

Working with the width of the box, we have:

Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:

[tex]Length=(6-(x+x))=(6-2x)[/tex]

Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:

[tex]Volumen_{max}=Length*Width*Bottom=(8-2x)(6-2x)*x[/tex]

Have a nice day!

Answer:

26.6 m

Step-by-step explanation:

Given the figures are similar

linear ratio = a : b

area ratio = a² : b²

here

area ratio = 16 : 25, then

linear ratio = 4 : 5 ( square root of both area ratio parts )

let the perimeter of the larger figure be x, then by proportion

[tex]\frac{4}{21.3}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )

4x = 106.5 ( divide both sides by 4 )

x ≈ 26.6

Hence perimeter of larger figure is approximately 26.6 m

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

[tex]y = \frac{1}{ {x}^{4} } [/tex]

We can see that there is an inverse relation between the quantity y and x.

If the it were [tex]y = \frac{1}{ {x}^2 } [/tex], we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

Answer:

d. x^4

Step-by-step explanation:

Just got it right

Answer:

angle x will be 17

Step-by-step explanation:

ATP,

3x+4=72–x

3x+x=72–4

4x=68

x=68/4

x=17

Answer:

x = 17

Step-by-step explanation:

Since triangles are similar then corresponding angles are congruent.

∠I and ∠ P are corresponding and congruent, hence

3x + 4 = 72 - x ( add x to both sides )

4x + 4 = 72 ( subtract 4 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Answer:

True

Step-by-step explanation:

The formula for the circumference of a circle is:

C=2πr

So we can substitute in the numbers we have:

Radius=4, so:

C=8π (we multiplied the radius by 2)

So the statement is true.

Hope I... yeah you get it y now I've been answering your questions a lot.

I'm still gonna copyright it.

Copyright Potato 2019.

Answer:

True

Step-by-step explanation:

The circumference (C) of a circle is

C = 2πr ← r is the radius

For C = 8π, then

2πr = 8π ( divide both sides by 2π )

r = 8π ÷ 2π = 4

Hence the radius must be 4

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4=0.75/0.25=3

Answer:

3

Step-by-step explanation:

Think:  "3/4" reads "three fourths," and thus we have 3  fourths.

Answer:

  6600 yd²

Step-by-step explanation:

The area of the scale drawing is ...

  (5.5 in)(3 in) = 16.5 in²

Each square inch represents an area of the field that is ...

  (20 yd)×(20 yd) = 400 yd² . . . . per square inch of drawing

Then the scale drawing represents a field with an area of ...

  (16.5 in²)×(400 yd²/in²) = 6600 yd²

Answer:

the multiplicative inverse or reciprocal.

Step-by-step explanation: